how do i write this equation
cars
the marton family took a vacation that covered a total distance of 1356 miles. the return of the trip was 284 miles shorter than the first part of the trip. how long was the return trip?
1356 - 284 = ?
1072
Right.
To solve this problem, you need to set up an equation based on the given information. Let's assume that the first part of the trip (outbound) covered a distance of x miles.
According to the problem, the return trip was 284 miles shorter than the first part of the trip. So, the distance covered in the return trip can be represented as (x - 284) miles.
The problem states that the entire trip covered a total distance of 1356 miles. Therefore, the equation can be written as:
x + (x - 284) = 1356
Now, we can solve this equation to find the value of x, which represents the length of the outbound trip. Let's simplify the equation step by step:
2x - 284 = 1356
2x = 1356 + 284
2x = 1640
x = 1640 / 2
x = 820
Now that we have found the length of the outbound trip (x = 820 miles), we can find the length of the return trip by substituting this value back into the equation:
Return trip = x - 284
Return trip = 820 - 284
Return trip = 536
Therefore, the length of the return trip is 536 miles.